Determine if (-2,6) and (4,12) are solutions to the system of equations:
y = x + 8
2y = x^2 + 8

Both and are solutions to the system.

Step-by-step explanation:

In order to determine whether the two given points represent solutions to our system of equations, we must "plug" thos points into both equations and check that the equality remains valid.

Step 1: Plug into

The solution verifies the equation.

Step 2: Plug into

The solution verifies both equations. Therefore, is a solution to this system.

Now we must check if the second point is also valid.

Step 3: Plug into

Step 4: Plug into

The solution verifies both equations. Therefore, is another solution to this system.

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step-by-step explanation: